Adiabatic large polarons in anisotropic molecular crystals

2011 ◽  
Vol 35 (1) ◽  
pp. 15-27
Author(s):  
Zoran Ivić ◽  
Željko Pržulj

Adiabatic large polarons in anisotropic molecular crystals We study the large polaron whose motion is confined to a single chain in a system composed of the collection of parallel molecular chains embedded in threedimensional lattice. It is found that the interchain coupling has a significant impact on the large polaron characteristics. In particular, its radius is quite larger while its effective mass is considerably lighter than that estimated within the one-dimensional models. We believe that our findings should be taken into account for the proper understanding of the possible role of large polarons in the charge and energy transfer in quasi-one-dimensional substances.

CISM journal ◽  
1990 ◽  
Vol 44 (1) ◽  
pp. 9-18 ◽  
Author(s):  
Michael G. Sideris

The geoid and its horizontal derivatives, the deflections of the vertical, play an important role in the adjustment of geodetic networks. In the one-dimensional (1D) case, represented typically by networks of orthometric heights, the geoid provides the reference surface for the measurements. In the two-dimensional (2D) adjustment of horizontal control networks, the geoidal undulations N and deflections of the vertical ξ, η are needed for the reduction of the measured quantities onto the reference ellipsoid. In the three-dimensional (3D) adjustment, N and ξ, η are basically required to relate geodetic and astronomic quantities. The paper presents the major gravimetric methods currently used for predicting ξ, η and N, and briefly intercompares them in terms of accuracy, efficiency, and data required. The effects of N, ξ, η on various quantities used in the ID, 2D, and 3D network adjustments are described explicitly for each case and formulas are given for the errors introduced by either neglecting or using erroneous N, ξ, η in the computational procedures.


1987 ◽  
Author(s):  
G A Vehar ◽  
K M Tate ◽  
D L Higgins ◽  
W E Holmes ◽  
H L Heyneker

The significance of the cleavage at arginine-275 of human t-PA has been the subject of debate. It has been reported, as expected for a member of the serine protease family, that the single chain form is a zymogen and that generation of catalytic activity is dependent upon cleavage at arginine-275. Other groups, in contrast, have found considerable enzyme activity associated with the one-chain form of t-PA. To clarify the functional significance of this proteolysis and circumvent cleavage of one-chain t-PA by itself or plasmin, site-directed mutagenesis was employed to change the codon of arginine-275 to specify a glutamic acid. The resulting plasmid was used to transfect CHO cells. The single chain mutant [Glu-275 t-PA] was expressed in CHO cells and the protein purified by conventional techniques. The mutant enzyme could be converted to the two-chain form by V8 protease, but not by plasmin. Glu-275 t-PA was 8 times less active in the cleavage of a tripeptide substrate and 20-50 times less active in the activation of plasminogen in the absence of firbrin(ogen) than its two-chain form. In the presence of fibrin(ogen), in contrast, the one and two-chain forms of Glu-275 t-PA were equal in their ability to activate plasminogen in the presence of fibrin(ogen). The activity in these assays was equal to the activity of wild type t-PA. In addition, it was observed that fibrin bound considerably more of the one-chain form of t-PA than the two chain forms of t-PA and the Glu-275 mutant. The one and two-chain forms of the wild type and mutated t-PA were found to slowly form complexes with plasma protease inhibitors in vitro, although the one-chain forms were less reactive with alpha-2-macroglobulin. It can be concluded that the one-chain form of t-PA appears to be fully functional under physiologic conditions and has an increased affinity for fibrin compared to two-chain t-PA.


1989 ◽  
Vol 03 (03) ◽  
pp. 427-439 ◽  
Author(s):  
N. M. BOGOLIUBOV ◽  
V. E. KOREPIN

The critical exponents describing the decrease of correlation functions on long distances for the one-dimensional Hubbard model is obtained. The behaviour of correlators shows that Cooper pairs of electrons are formed. The electron tunneling between the chains leads to the existence of the anomalous mean values and to the superconductive current. The anisotropy of the quasi-one-dimensional system leads to the rise of critical temperature T c .


2016 ◽  
Vol 5 (1) ◽  
pp. 52 ◽  
Author(s):  
Edward O'Boyle

In this article we address the following question: does culture play a role in economic behavior? We conclude that culture influences economic behavior in all three areas of economic activity: work, consumption, and leisure. Our proof lies not so much in replicating certain experimental results, but in documenting in real-world circumstances how culture influences economic behavior. Attention to the role of culture in economic affairs acknowledges that humans are more than the one-dimensional, autonomous, individuals, as premised in mainstream economics, whose very existence is temporal, whose role in economic affairs is strictly instrumental, and whose behavior is virtually the same across cultures. We have argued that humans are two-dimensional twice over. First, humans are individual beings and social beings: solitary and communal, self-made and culture-bound, autonomous and dependent, rational and emotional, self-centered and other-centered. Second, humans are both matter and spirit. The duality of the human person, rooted in individuality and sociality, affords an opportunity to unify economic theory wherein individuality is the focus of microeconomics and sociality is the center of macroeconomics. Putting the isolated individual at the very heart of economics closes down that opportunity and assures that mainstream economic theory will remain truncated indefinitely. The makeover of mainstream economics will take place once neo-classical economists accept that the ultimate end of economic systems relates not to maximum personal net advantage but to integral human development.


The W. K. B. technique for solving the one-dimensional wave equation is extended to the case when the potential field includes a rapidly varying periodic term as well as a slowly varying term. A pair of auxiliary functions are introduced which are identical to the wave function and its derivative respectively at the edges of the periodic cells, but which have a simple exponential behaviour within the cells. The auxiliary functions satisfy a pair of auxiliary (related) differential equations, with slowly varying coefficients, which are valid for all energy values. Solution of the auxiliary equations by the well-known W. K. B. technique yields approximations to the wave function. These approximations break down in the neighbourhood of the band edges, which are the turning points of the problem. Connexion formulae are established across the band edges and employed to calculate the interband tunnelling probability. In the immediate neighbourhood of a band edge the analysis yields an effective-mass wave equation and a closed form for the wave function. The auxiliary functions are closely related to the effective-mass modulating wave function and the results of this paper may be regarded as an extension of effective-mass theory for the one-diinensional case, throughout the whole of the energy ranges of allowed bands and forbidden gaps.


2015 ◽  
Vol 93 (11) ◽  
pp. 1343-1351 ◽  
Author(s):  
Manjeet Singh Gautam

This article analyzes the validity of static Woods–Saxon potential and the energy-dependent Woods–Saxon potential (EDWSP) to explore the specific features of fusion dynamics of [Formula: see text] and [Formula: see text] systems. The intrinsic degrees of freedom, such as inelastic surface excitations, play a crucial role in the enhancement of sub-barrier fusion excitation functions over the expectations of the one-dimensional barrier penetration model. Role of dominant intrinsic degrees of freedom of collision partners are entertained within the context of coupled channel calculations. Furthermore, the one-dimensional Wong formula using static Woods–Saxon potential fails miserably to describe the fusion enhancement of [Formula: see text] and [Formula: see text] systems. However, the Wong formula along with the EDWSP model accurately explains the observed fusion enhancement of [Formula: see text] reactions. In the fusion of [Formula: see text] reaction, the above-barrier fusion data are suppressed by a factor of 0.66 with reference to the EDWSP model calculations while the below-barrier fusion data are adequately addressed by the EDWSP model and the coupled channel calculations. Therefore, the coupled channel calculations and the EDWSP model calculations reasonably describe the observed fusion mechanism of [Formula: see text] and [Formula: see text] reactions. This suggests that the energy dependence in the Woods–Saxon potential model introduces similar kinds of barrier modification effects (barrier height, barrier position, and barrier curvature) as reflected from the coupled channel calculations. In the EDWSP model calculations, significantly larger values of diffuseness ranging from a = 0.86 to 0.94 fm, which is much larger than a value extracted from the elastic scattering analysis, are needed to address the sub-barrier fusion data.


Sign in / Sign up

Export Citation Format

Share Document